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Finding the Fourth Proportional to 713,449.56, 984,560.40 and 411,643.56

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Solution

The fourth proportional to 713,449.56, 984,560.40 and 411,643.56 is: 568,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,449.56 : 984,560.40 = 411,643.56 : x
  2. Step 2: Convert to fraction form
    713,449.56/984,560.40 = 411,643.56/x
  3. Step 3: Cross multiply
    713,449.56x = 984,560.40 × 411,643.56
  4. Step 4: Simplify right side
    713,449.56x = 405,287,948,091.02
  5. Step 5: Solve for x
    x = 405,287,948,091.02/713,449.56
  6. Step 6: Final answer
    x = 568,068.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.